Minimum-error multiple state discrimination constrained by the no-signaling principle

Abstract

We provide a bound on the minimum error when discriminating among quantum states, using the no-signaling principle. The bound is general in that it depends on neither dimensions nor specific structures of given quantum states to be discriminated among. We show that the bound is tight for the minimum-error state discrimination between symmetric (both pure and mixed) qubit states. Moreover, the bound can be applied to a set of quantum states for which the minimum-error state discrimination is not known yet. Finally, our results strengthen the quantitative connection between two no-go theorems, the no-signaling principle and the no perfect state estimation.

6 pages, 1 figure

References in corpus (4)

• Minimum-error discrimination between mixed quantum states
• Entanglement in SO(3)-invariant bipartite quantum systems
• Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo-Curlander bounds
• No-Signalling Bound on Quantum State Discrimination

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